Geometry and dynamics seminar: The supercritical Lane-Emden equation and its gradient flow
Event details
| Date | 13.05.2015 |
| Hour | 16:15 › 17:30 |
| Speaker | Michael Struwe (ETH) |
| Location | |
| Category | Conferences - Seminars |
In joint work with Simon Blatt and Melanie Rupflin we lay out a functional analytic framework for the Lane-Emden equation
$-\Delta u = u|u|^{p-2}$
on a domain $\Omega\subset\R^n$ and the associated flow
$u_t-\Delta u = u|u|^{p-2}$
in the supercritical regime when $p>\frac{2n}{n-2}$ and establish Morrey estimates as well as existence of partially regular tangent maps at any first blow-up point of the flow. Moreover, we obtain partial regularity results up to the boundary at the blow-up time."
$-\Delta u = u|u|^{p-2}$
on a domain $\Omega\subset\R^n$ and the associated flow
$u_t-\Delta u = u|u|^{p-2}$
in the supercritical regime when $p>\frac{2n}{n-2}$ and establish Morrey estimates as well as existence of partially regular tangent maps at any first blow-up point of the flow. Moreover, we obtain partial regularity results up to the boundary at the blow-up time."
Practical information
- Informed public
- Free
Organizer
- Marc Troyanov